Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads
Algebraic Topology
2015-04-22 v2 Geometric Topology
Abstract
Our aim is to introduce and advocate non- (non-symmetric) modular operads. While ordinary modular operads were inspired by the structure of the moduli space of stable complex curves, non- modular operads model surfaces with open strings outputs. An immediate application of our theory is a short proof that the modular envelope of the associative operad is the linearization of the terminal operad in the category of non- modular operads. This gives a succinct description of this object that plays an important role in open string field theory. We also sketch further perspectives of the presented approach.
Keywords
Cite
@article{arxiv.1410.3414,
title = {Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads},
author = {Martin Markl},
journal= {arXiv preprint arXiv:1410.3414},
year = {2015}
}
Comments
27 pages. Numerous references added, intrinsic definition of cyclic order used